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Finding the Fourth Proportional to 768,633.34, 1,153,649.66 and 409,106.03

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Solution

The fourth proportional to 768,633.34, 1,153,649.66 and 409,106.03 is: 614,031.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,633.34 : 1,153,649.66 = 409,106.03 : x
  2. Step 2: Convert to fraction form
    768,633.34/1,153,649.66 = 409,106.03/x
  3. Step 3: Cross multiply
    768,633.34x = 1,153,649.66 × 409,106.03
  4. Step 4: Simplify right side
    768,633.34x = 471,965,032,413.45
  5. Step 5: Solve for x
    x = 471,965,032,413.45/768,633.34
  6. Step 6: Final answer
    x = 614,031.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.